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The proof is obvious in view of Lemma 2.1.
The following result is obvious in view of Lemma 2.2.
Proof The proof is obvious in view of the previous theorem.
The proof of the following result is obvious in view of Lemma 2.4.
The court agreed with the defendants' position that a server resubmission was obvious in view of other client/server systems of that time.
The court cited both pieces of prior art in today's ruling, "We have considered all of Personal Audio's arguments," the decision reads, "and affirm the PTAB's conclusion that the challenged claims are anticipated by the Patrick/CBC reference, and alternatively that the claims are invalid as obvious in view of the Compton/CNN reference".
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Against four hearts, West led the club deuce, an obvious singleton in view of the bidding.
The improved statistical treatment in this research for a majority of the studied samples testifies that three-component unconstrained fitting has an obvious preference in view of better goodness for PAL spectra accumulated under solely source contribution (15% in short-lived source component).
We make the following obvious but essential observation: in view of the uniqueness theorem for the solutions of Hamilton's equations, the solution of (42) with initial value z 0 is the same as that of the Hamiltonian system (43) z ˙ (t ) = J ∂ z H (z (t ), t ) with z (0 ) = z 0. Denoting by (f t H z 0 ) the Hamiltonian flow determined by H z 0 we thus have f t H (z 0 ) = f t H z 0 (z 0 ).
Proof It is obvious that G is continuous in view of continuity of f, I k and I k ∗.
Hence, in view of obvious practical relevance, I must have constructed our discrete process in a nontâtonnement setting.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.
Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com